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Title Advanced procrustes analysis models in photogrammetric computer vision [electronic resource] / Fabio Crosilla [and more].

Published [S.l.] : SPRINGER NATURE, 2019.


Location Call No. Status
Physical description 1 online resource
Series CISM International Centre for Mechanical Sciences ; volume 590
CISM International Centre for Mechanical Sciences ; v. 590.
Springer Engineering eBooks 2019 English+International
Contents Intro; Preface; References; Contents; 1 Introduction; References; Part I Theory of Procrustes Analysis Models; 2 Orthogonal Procrustes Analysis; 2.1 The Origins of Procrustes Analysis; 2.2 Classification of the Procrustes Models; 2.3 OPA-Orthogonal Procrustes Analysis; 2.4 EOPA-Extended Orthogonal Procrustes Analysis; 2.5 WEOPA-Weighted Extended Orthogonal Procrustes Analysis; 2.6 OPA and EOPA with Missing Data; 2.6.1 The Case of Missing Data Dimensions; 2.6.2 The Case of Missing Point Coordinates; 2.6.3 The Case of Missing Components; 2.7 Procrustes Statistics
2.7.1 Procrustes Statistics with Errors in One Configuration2.7.2 Procrustes Statistics with Errors in Two Configurations; 2.7.3 Analysis of Variance for the Procrustes Statistics; 2.8 Summary; References; 3 Generalized Isotropic Procrustes Analysis; 3.1 Basic Hypothesis and Layout of the Problem; 3.2 Original GPA Solution; 3.3 Alternative GPA Solution; 3.4 Weighted GPA with Missing Values; 3.5 Properties of the Centroid; 3.6 Closest Point Generalized Procrustes Analysis; 3.7 Generalized Procrustes Statistics and the Analysis of Variance; 3.8 Summary; References
4 Anisotropic Procrustes Analysis4.1 Problem Formulation; 4.2 AEOPA-Anisotropic Extended Orthogonal Procrustes Analysis with Row Scaling; 4.3 AGPA-Anisotropic Generalized Procrustes Analysis; 4.4 Summary; References; 5 Procrustes Errors-In-Variables Solutions; 5.1 Errors-In-Variables Model and Total Least Squares Solutions; 5.2 Total Least Squares Solutions of Procrustes Models; 5.2.1 EIV-Extended Orthogonal Procrustes Analysis (EIV-EOPA); 5.2.2 EIV-Weighted Extended Orthogonal Procrustes Analysis (EIV-WEOPA); 5.2.3 EIV-Anisotropic Orthogonal Procrustes Analysis (EIV-AEOPA); 5.3 Summary
7 Basics of Terrestrial Laser Scanning7.1 Background; 7.2 Registration and Geo-referencing of Laser Scanning Point Clouds; 7.3 Laser Scanning with Moving Systems; 7.4 Summary; References; Part III Applications of Procrustes Analysis Models; 8 Applications of Anisotropic Procrustes Analysis; 8.1 Solving the Exterior Orientation Problem with AEOPA; 8.1.1 Background and Related Work; 8.1.2 Exterior Orientation with Fiore's Algorithm; 8.1.3 Exterior Orientation with AEOPA; 8.1.4 Experimental Validation; 8.1.5 EIV-AEOPA Solution for the Exterior Orientation Problem
Summary This book gives a comprehensive view of the developed procrustes models, including the isotropic, the generalized and the anisotropic variants. These represent original tools to perform, among others, the bundle block adjustment and the global registration of multiple 3D LiDAR point clouds. Moreover, the book also reports the recently derived total least squares solution of the anisotropic Procrustes model, together with its practical application in solving the exterior orientation of one image. The book is aimed at all those interested in discovering valuable innovative algorithms for solving various photogrammetric computer vision problems. In this context, where functional models are non-linear, Procrustean methods prove to be powerful since they do not require any linearization nor approximated values of the unknown parameters, furnishing at the same time results comparable in terms of accuracy with those given by the state-of-the-art methods.
Other author Crosilla, F.
SpringerLink issuing body.
Subject Photogrammetry -- Digital techniques.
Computer vision.
Electronic books.
Electronic books.
ISBN 9783030117603 (electronic bk.)
303011760X (electronic bk.)